I believe the answer is B.
Answer:
7
Step-by-step explanation:
Because 7 x 1 = 7 (you have to multiply the numerator if the denominators are the same number)
If (x-2) is a factor of P(x), then what do you think P(x) will be if x = 2? If x is 2 then won't x-2 be zero? And if a factor of of P(x) is zero, won't P(x) be zero, too (regardless of what the other factor is)?
So the "proper value" to test is x=2. If P(2) = 0 then x-2 must be a factor and if P(2) is not zero then x-2 is not a factor is
.3x-x+2=4
I'll leave it up to you so simplify this and find out if x-2 is a factor.
P.S. As I indicated above you use P(2) to see if (x-2) is a factor. P(-2) checks to see if (x-(-2)) or (x+2) is a factor. P(-2) does not check for a factor of (x-2)! Please redo the problem and see what P(2) works out to be!
Answer:

Step-by-step explanation:
Given

Required
Solve

Collect like terms


Make w the subject


Answer:
1) y > x² + 4x - 5, y > x + 5
2) Rational
Step-by-step explanation:
For a parabola, if the shade is inside the curve then the value of y will be greater or equal to:
For a line, if the shade is above it then the value of y will be greater or equal to:
Therefore, since parabola doesn't have solid curve (--- graph) then the inequality is ">"
Therefore, the inequality for parabola is y > x² + 4x - 5
For a line, it does not have solid graph so the inequality is ">"
Therefore, the inequality for line is y > x + 5
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The graph of function describes the shape of rational function. It cannot be exponential as exponential only has one curve. It cannot be logarithm for same reason as exponential. It cannot be polynomial as polynomial is continuous function but the graph is discontinuous at specific point x = 0.
That being said, all choices except rational are all continuous function by default but rational function isn't and since the graph is discontinuous then we can say that it's rational function.